Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material

We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material...

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Bibliographic Details
Published in:Journal of Applied Fluid Mechanics 2016-01, Vol.9 (6), p.2837-2843
Main Authors: Siddique, Javed, Kara, Abdul
Format: Article
Language:English
Subjects:
Capillary Rise
Magnetohydrodynamics fluid
Deformable porous media
Mixture theory
Computational fluid dynamics
Computer applications
Deformation
Deformation effects
Fluid flow
Fluid mechanics
Formability
Liquids
Magnetic effects
Magnetohydrodynamics
Mathematical models
Method of lines
Porous materials
Reduction
Suction
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Summary:We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a non-linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects.
ISSN:1735-3572
1735-3645
DOI:10.29252/jafm.09.06.25640